# trigonometry

the bases of a trapezoid are 22 and 12 respectively. The angles at the extremities of one base are 65 degree and 40 degree respectively find the two legs. Answer using law of sines pls

1. 👍
2. 👎
3. 👁
1. Construct the trapezoid ABCD ,where AB || CD
AB = 12 and CD = 22
angle C=65 and angle D = 40

Draw AE || BC where E is on CD
So now ABCE is a parallelogram, and CE = 12
which makes ED = 10

Now look at triangle AED, by corresponding angles
angle AED = 65°, angle D = 40 leaving angle DAE = 75°

by sine law:

by sine law:
AE/sin40 = 10/sin75
AE = 6.65

but BC = AE, (||gram|

So the side adjacent to the 65° angle is 6.65, the side adjacent to the 40° angle is 9.38

check my arithmetic, I am only on my first coffee.

1. 👍
2. 👎
2. wow this really helps!! :D I have the same problem too haha thanks!!!

1. 👍
2. 👎
3. Hey thanks! I have the same problem. never thought it would be this easy.

1. 👍
2. 👎
4. tnx bro!

1. 👍
2. 👎
5. where'd you get that 10 and 12

1. 👍
2. 👎

## Similar Questions

solve for h The formula for finding the area of a trapezoid is A = 1/2 (b1 + b 2)h where A represents the area of the trapezoid, b1 and b2 are bases, and h represents the height. Solve the formula for h. I know the answer is h =

2. ### geometry

which of the following statements are true? a. if two angles form a linear pair, then the angles are supplementary b. if two angles are right angles, then the angles are complementary c. if two angles have the same measure, then

3. ### math

a trapezoid has an area of 36 meters squared and altitude of 2 meters. its two bases in meters have ratio of 4:5 the bases are ___.

4. ### trig

the base of a trapezoid are 22 and 12 respectively. the angle at the extremities of one base are 65 degree and 45 degree respectively. find two legs?

1. ### algebra

1. use the formula for the area of a trapezoid A=h ( b1+b2/2 ) where A is area, b1 and b2 are the length of the bases and h is the height, to answer the question. how many square feet of grass are there on a trapezoid field with a

2. ### algebra

1. use the formula for the area of a trapezoid A=h ( b1+b2/2 ) where A is area, b1 and b2 are the length of the bases and h is the height, to answer the question. how many square feet of grass are there on a trapezoid field with a

The bases of trapezoid $ABCD$ are $\overline{AB}$ and $\overline{CD}$. We are given that $CD = 8$, $AD = BC = 7$, and $BD = 9$. Find the area of the trapezoid.

4. ### trigonometry

the bases of a trapezoid are 22 and 12 respectively. The angles at the extremities of one base are 65^ and 40^ respectively. Find the two legs

1. ### Math plz help one question only!!!!!!!!!!!!!!!!!!!!

A trapezoid has an area of 24 square meters. The lengths of the bases of the trapezoid are 5 meters and 7 meters. What is the height of the trapezoid? • 4 meters************ • 144 meters • 2 meters • 1 meter

2. ### geometry

An isosceles trapezoid has base angles equal to 45 and bases of lengths 6 and 12. Find the area of the trapezoid.

3. ### math

which figure has the same area as the parallelogram shown below? A.a triangle with a base 4 mm and a height of 20 mm B.a trapezoid with the base of 15 mm and 25 mm and a height of 2 mm C.a trapezoid with bases of 6 mm and 14 mm

4. ### Math

The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? What do you do after you find the area of the triangle? Triangle: base=21 cm,